Andreas M Hinz
자료유형 | 단행본 |
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개인저자 | Schonlau Julia Andreas M Hinz Sandi Klavžar Uroš Milutinović Ciril Petr Ian Stewart |
서명/저자사항 | The tower of Hanoi - Myths and Maths /Andreas M HinzSandi KlavžarUroš MilutinovićCiril PetrIan Stewartggi. |
발행사항 | Basel:Birkhäuser,2013 |
형태사항 | 191 p:chiefly illustrations ;22 cm |
ISBN | 9783034802369 |
요약 | This is the first comprehensive monograph on the mathematical theory of the solitaire game "The Tower of Hanoi" which was invented in the 19th century by the French number theorist Édouard Lucas. The book comprises a survey of the historical development from the gameʼs predecessors up to recent research in mathematics and applications in computer science and psychology. Apart from long-standing myths it contains a thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material. The main objects of research today are the so-called Hanoi graphs and the related Sierpiński graphs. Acknowledging the great popularity of the topic in computer science, algorithms and their correctness proofs form an essential part of the book. In view of the most important practical applications of the Tower of Hanoi and its variants, namely in physics, network theory, and cognitive (neuro)psychology, other related structures and puzzles like, e.g., the ŽTower of LondonŽ, are addressed. Numerous captivating integer sequences arise along the way, but also many open questions impose themselves. Central among these is the famed Frame-Stewart conjecture. Despite many attempts to decide it and large-scale numerical experiments supporting its truth, it remains unsettled after more than 70 years and thus demonstrates the timeliness of the topic. Enriched with elaborate illustrations, connections to other puzzles and challenges for the reader in the form of (solved) exercises as well as problems for further exploration, this book is enjoyable reading for students, educators, game enthusiasts and researchers alike. |
비통제주제어 | matematika,kombinatorika,kitajski obroči,Frame-Stewartova domnev,mathematics,Myths, |
No. | 등록번호 | 청구기호 | 자료실/서가 | 도서상태 | 반납예정일 | 출력 | 예약/신청 | 서가에 없는 도서 |
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보존서고3/세계자료 서가(대출가능) 신청가능